45240400800 has 432 divisors, whose sum is σ = 187336134720. Its totient is φ = 10321758720.

The previous prime is 45240400789. The next prime is 45240400817. The reversal of 45240400800 is 800404254.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82706127 + ... + 82706673.

It is an arithmetic number, because the mean of its divisors is an integer number (433648460).

Almost surely, 2^45240400800 is an apocalyptic number.

45240400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45240400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93668067360).

45240400800 is an abundant number, since it is smaller than the sum of its proper divisors (142095733920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45240400800 is an equidigital number, since it uses as much as digits as its factorization.

45240400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

It can be divided in two parts, 45240 and 400800, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 45240400800 in words is "forty-five billion, two hundred forty million, four hundred thousand, eight hundred".